The tangential \(k\)-Cauchy-Fueter operator and \(k\)-CF functions over the Heisenberg group

DOI10.1007/s00006-020-1043-3zbMath1431.22011OpenAlexW3006359465MaRDI QIDQ2301514

Guangzhen Ren, Wei Wang, Yun Shi

Publication date: 24 February 2020

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-020-1043-3

zbMATH Keywords

Heisenberg groupBochner-Martinelli formulaPenrose integral formulatangential \(k\)-Cauchy-Fueter complexestangential \(k\)-Cauchy-Fueter operatortangential \(k\)-CF functions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Analysis on real and complex Lie groups (22E30) Differential complexes (58J10) Quaternionic operator theory (47S05)

Related Items (6)

On the boundary complex of the \(k\)-Cauchy-Fueter complex ⋮ The tangential \(k\)-Cauchy-Fueter operator on right-type groups and its Bochner-Martinelli type formula ⋮ A version of Schwarz lemma associated to the \(k\)-Cauchy-Fueter operator ⋮ The Penrose transform and the exactness of the tangential \(k\)-Cauchy-Fueter complex on the Heisenberg group ⋮ The quaternionic Monge-Ampère operator and plurisubharmonic functions on the Heisenberg group ⋮ Anti-self-dual connections over the 5D Heisenberg group and the twistor method

Cites Work

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